%0 Journal Article
%A Gómez Villegas, Miguel Ángel
%A González Pérez, Beatriz
%T R X S Tables From A Bayesian Viewpoint
%D 2010
%@ 1988-2807
%U https://hdl.handle.net/20.500.14352/42209
%X The display of the data by means of contingency tables is used for discussing different approaches to statistical inference. We develop a Bayesian procedure for the homogeneity testing problem of r populations using r × s contingency tables. The posterior probability of the homogeneity null hypothesis is calculated using a mixed prior distribution. The methodology consists of assigning an appropriate prior mass, π0, to the null and spreading the remainder, 1 − π0, over the alternative according to a density function. With this method, it is possible to prove a theorem which shows when the p-value and the posterior probability can give rise to the same conclusion.
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